Add 4/7 and 27/54
4/7 + 27/54 is 15/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 7 × 54 = 378,
4/7 = 4 × 54/7 × 54 = 216/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
27/54 = 27 × 7/54 × 7 = 189/378 - Add the two like fractions:
216/378 + 189/378 = 216 + 189/378 = 405/378 - 405/378 simplified gives 15/14
- So, 4/7 + 27/54 = 15/14
In mixed form: 11/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/7+27/54 4/14+27/54 12/7+27/54 4/7+81/54 4/21+27/54 20/7+27/54 4/35+27/54 28/7+27/54 4/49+27/54